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Finding the Fourth Proportional to 2,237.81, 3,353.00 and 776.16

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Solution

The fourth proportional to 2,237.81, 3,353.00 and 776.16 is: 1,162.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.81 : 3,353.00 = 776.16 : x
  2. Step 2: Convert to fraction form
    2,237.81/3,353.00 = 776.16/x
  3. Step 3: Cross multiply
    2,237.81x = 3,353.00 × 776.16
  4. Step 4: Simplify right side
    2,237.81x = 2,602,460.60
  5. Step 5: Solve for x
    x = 2,602,460.60/2,237.81
  6. Step 6: Final answer
    x = 1,162.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.